Let the motion of a body be given in component form as: 1 1 2 x = X + 3tX ; 2 2 1 x = X + 5tX ; 3 3 x = X a) The path of the particle originally at X = (1, 3, 2). b) The velocity and acceleration components of the same particle when t = 2. c) Find the spatial description of motion. d) The spatial velocity and acceleration components for particles when t = 2. e) Find the displacement field in both material and spatial descriptions. f) Can you find the material velocity using displacement? How does it relate to velocity introduced by motion components?